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Finding the Third Proportional to 2,313.98 and 3,583.83

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Solution

The third proportional to 2,313.98 and 3,583.83 is: 5,550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.98 : 3,583.83 = 3,583.83 : x
  2. Step 2: Convert to fraction form
    2,313.98/3,583.83 = 3,583.83/x
  3. Step 3: Cross multiply
    2,313.98x = 3,583.83 × 3,583.83
  4. Step 4: Simplify right side
    2,313.98x = 12,843,824.03
  5. Step 5: Solve for x
    x = 12,843,824.03/2,313.98
  6. Step 6: Final answer
    x = 5,550.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.